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Simplifying 7x + 4 = 3(x + -1) + 8 Reorder the terms: 4 + 7x = 3(x + -1) + 8 Reorder the terms: 4 + 7x = 3(-1 + x) + 8 4 + 7x = (-1 * 3 + x * 3) + 8 4 + 7x = (-3 + 3x) + 8 Reorder the terms: 4 + 7x = -3 + 8 + 3x Combine like terms: -3 + 8 = 5 4 + 7x = 5 + 3x Solving 4 + 7x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 7x + -3x = 5 + 3x + -3x Combine like terms: 7x + -3x = 4x 4 + 4x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 4x = 5 + 0 4 + 4x = 5 Add '-4' to each side of the equation. 4 + -4 + 4x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 5 + -4 4x = 5 + -4 Combine like terms: 5 + -4 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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